{"title":"Morera’s Boundary Theorem in Siegel Domain of the First Kind","authors":"Bukharbay T. Kurbanov","doi":"10.17516/1997-1397-2022-15-2-253-260","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-2-253-260","url":null,"abstract":"The paper considers the realization of the matrix unit polydisk in the form of a Siegel domain of the first kind and proves the boundary analogue of Morera’s theorem","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131122262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analytic Solvability of the H¨ormander Problem and the Borel Transformation of Multiple Laurent Series","authors":"E. K. Leinartas","doi":"10.17516/1997-1397-2022-15-2-184-193","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-2-184-193","url":null,"abstract":"In this paper, the initial-boundary value problem of Hormander is formulated in the class of functions representable by Laurent series supported in rational cones. Using the Borel transformation of Laurent series we establish a connection between a differential and a difference problems and prove its global analytic solvability","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"298 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122192129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"NEXAFS and FTIR Spectroscopy of Co-doped SrBi2Nb2O9","authors":"N. Zhuk","doi":"10.17516/1997-1397-2022-15-1-5-12","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-1-5-12","url":null,"abstract":"The solid-phase ceramic method was used to synthesize cobalt-containing solid solutions based on SrBi2Nb2O9. NEXAFS (Near Edge X-ray Absorption Fine Structure) and IR spectroscopy were used to study the electronic state of cobalt atoms in solid cross-links with a layered perovskite-like structure. It was found that cobalt atoms are in high-spin states of Co(III) and, mainly, Co(II) in an octahedral oxygen environment","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130880322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On a Spectral Problem for Convection Equations","authors":"V. Andreev","doi":"10.17516/1997-1397-2022-15-1-88-100","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-1-88-100","url":null,"abstract":"Spectral problems for stationary unidirectional convective flows in vertical heat exchangers at various boundary temperature conditions are considered. The constant temperature gradient on the vertical walls is used as a spectral parameter. The heat exchanger cross-section can be of an arbitrary shape. The general properties of the spectral problem solutions are established. Solutions are obtained in an analytical form for rectangular and a circular cross sections. The critical values of temperature gradient at which convective flow arises are found. The corresponding vertical velocity profiles are constructed. The properties of solutions of a new transcendental equation for the spectral values are studied","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130396844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On a Formula for Calculating the Resultant of Two Entire Functions","authors":"E. K. Myshkina","doi":"10.17516/1997-1397-2022-15-1-17-22","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-1-17-22","url":null,"abstract":"Using Newton’s recurrent formulae, we find the product of values of an entire function of one variable in zeroes of another entire function. This allows to answer whether they have common zeroes. By that, we propose an approach to construction of the resultant of two entire functions. We also give example illustrating the main result","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122710276","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the Multidimensional Boundary Analogue of the Morera Theorem","authors":"S. Myslivets","doi":"10.17516/1997-1397-2022-15-1-29-45","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-1-29-45","url":null,"abstract":"We discuss functions with the one-dimensional holomorphic extension property along com- plex lines and curves and also boundary multidimensional variants of the Morera theorem. We show how integral representations can be applied to the study of analytic continuation of functions, in particular to multidimensional boundary analogues of the Morera theorems","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129045513","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Euler-Maclaurin Formula in the Problem of Summation over Lattice Points of a Simplex","authors":"Evgeniy K. Leinartas","doi":"10.17516/1997-1397-2022-15-1-108-113","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-1-108-113","url":null,"abstract":"In the problem of summation over lattice points of a simplex we find an analog of the Euler–Maclaurin formula for discrete primitive function and the sum","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131736440","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Satisfiability in a Temporal Multi-valueted Logic Based on Z","authors":"V. R. Kiyatkin","doi":"10.17516/1997-1397-2022-15-1-56-74","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-1-56-74","url":null,"abstract":"In this paper we continue the series of papers by V. V. Rybakov devoted to properties of multi-valueted logics and where he propose a new approach for modelling knowledge and reasoning of agents in a multi-agent system. We prove that the satisfiability problem is decidable in a temporal multi-valueted logic based on Z","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127055263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Anisotropy of the Electromechanical Characteristics of SH-Waves and Lamb Waves in Yttrium Aluminum Borate Single Crystals","authors":"P. P. Turchin","doi":"10.17516/1997-1397-2022-15-1-80-87","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-1-80-87","url":null,"abstract":"The anisotropy of the electromechanical properties of SH-waves and Lamb waves in yttrium aluminum borates, which are nonmagnetic representatives of the RMe3(BO3)4 single crystals family (where R=Y, La-Lu; M=Fe, Al, Cr, Ga, Sc) with unique properties of magnetoelectrics and multiferroics, has been studied. In the process of the numerical simulation of the acoustic waves characteristics, the values of linear electromechanical constants of YAl3(BO3)4 single crystals, previously measured by ultrasonic pulse echo and quasi-static methods, have been used","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"07 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126929170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}